Finding the Third Proportional to 4,762.13 and 5,293.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,762.13 : 5,293.69 = 5,293.69 : x
2. Step 2: Convert to fraction form
   4,762.13/5,293.69 = 5,293.69/x
3. Step 3: Cross multiply
   4,762.13x = 5,293.69 × 5,293.69
4. Step 4: Simplify right side
   4,762.13x = 28,023,127.35
5. Step 5: Solve for x
   x = 28,023,127.35/4,762.13
6. Step 6: Final answer
   x = 5,884.58